Pith Number

pith:GQLWYFVC

pith:2015:GQLWYFVCAA43THWG2BJTO356LN

not attested not anchored not stored refs pending

Greybody factors for Schwarzschild black holes: Path-ordered exponentials and product integrals

Finnian Gray (Victoria University of Wellington), Matt Visser (Victoria University of Wellington)

arxiv:1512.05018 v1 · 2015-12-16 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQLWYFVCAA43THWG2BJTO356LN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Electromagnetic Signatures From Primordial Black Holes in the Solar System

Receipt and verification

First computed	2026-05-18T01:24:13.725415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34176c16a20039b99ec6d053376fbe5b7b51989675f3bbc78a2af6c3c78efd9a

Aliases

arxiv: 1512.05018 · arxiv_version: 1512.05018v1 · doi: 10.48550/arxiv.1512.05018 · pith_short_12: GQLWYFVCAA43 · pith_short_16: GQLWYFVCAA43THWG · pith_short_8: GQLWYFVC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GQLWYFVCAA43THWG2BJTO356LN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 34176c16a20039b99ec6d053376fbe5b7b51989675f3bbc78a2af6c3c78efd9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b605baa1e759cff26b570e5de4e0a8f3efd427522d1ddc22d65f0d62942b117",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-16T01:02:09Z",
    "title_canon_sha256": "8491fa44ece97f2cf3f296e8227e68fb003f489cdc3bb96f788490d035751cb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05018",
    "kind": "arxiv",
    "version": 1
  }
}